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Inverkeithing
High School

Maths

Welcome to the Mathematics Department!

 

 

 “Go down deep enough into anything and you will find mathematics.” - Dean Schlicler

 

Mathematics is important in everyday life. It helps us to make sense of the world we live in and to manage our lives.

Mathematics engages learners of all ages, interests and abilities. Learning mathematics develops logical reasoning, analysis, problem-solving skills, creativity, and the ability to think in abstract ways. It uses a universal language of numbers and symbols, which allows us to communicate ideas in a concise, unambiguous and rigorous way.

Using mathematics enables us to model real-life situations and make connections and informed predictions. It equips us with the skills we need to interpret and analyse information, simplify and solve problems, assess risk and make informed decisions.

Within the Maths Department we aim to create an environment that is safe, nurturing and enjoyable, where young people can acquire the skills and attributes for lifelong learning.

 

Staff List 

Mr Connor  (PTC Business., Computing and Maths) 

Mrs. Greenslade

Mr. McNinch 

Miss. Dawson 

Mrs. Curran 

Mr. Ness 

Miss. McGrath 

Mr. Mackie 

Mr Kitsos

Mrs Kent

 

 

 

USEFUL WEBSITES

Below are links to some useful maths websites:

https://www.bbc.co.uk/bitesize/subjects/z6vg9j6

https://www.mathsrevision.com/

https://www.national5maths.co.uk/free-national-5-maths-2/

http://www.sptamaths.co.uk/files2/courses.html

https://www.mathsworkout.co.uk/

(username and password required – ask your teacher for this)

 

CAREERS IN MATHS:

 

 

 

 

COURSE OUTLINES:

BROAD GENERAL EDUCATION (S1-S3)

 

Your learning in S1 – S3 maths should enable you to:

 

Topics Covered

S1 MATHS

 

S2 MATHS

 

S3 MATHS

Level 3                                         

 

Numeracy                   

Whole Numbers, Time, Reading Tables, Decimals, Positive and Negative Numbers, Length and Scale, Money, Interpreting Graphs, Fractions and Percentages, Probability, Weight and Capacity        

                                                                           

Shape, Space and Measure           

Perimeter and Area, Directions, Timetables, Volume, Tiling and Symmetry, Scale Drawing, Units of Measurement, Number Patterns

                                                                                      

Manage Money and Data
Income and Expenditure, Wages and Salaries, VAT, Budgets, Savings, Best Deal, Graphs, Charts and Tables                                                                                 

 

 

Level 4

Numeracy                                   

Calculations and Standard Form, Integers, Units of Measurement, Perimeter, Fractions and Percentages, Scale, Ratio and Direct Proportion, Money, Distance, Speed and Time       
                                                                       
Expressions and Formulae                                         
                                                                       
Algebra, Information Handling, Area, Circles, Surface Area of Prisms, Patterns and Sequences, Volume of Prisms, Probability, Rotational Symmetry

                                                                                         

Relationships                   

Pythagoras, Angles, Angles in a Circle, Similarity, Trigonometry, Straight Line, Equations and Inequalities, Scattergraphs, Changing the Subject of a Formula

 

 

Level 4+

Applications

Working with Percentages, Working with Fractions, Trigonometry

 

Expressions and Formulae                 
                                                                       
Expansion of Brackets, Factorising, Volume (and Significant Figures), Straight Line, Arcs and Sectors, Working with Surds, Equations and Inequations, 
Changing the Subject of a Formula, Algebraic Fractions, Functions, Indices, Vectors

 

Relationships

Applying Pythagoras, Properties of 2D Shapes, Statistics, Similarity, Completing the Square, Quadratic Equations, Simultaneous Equations, Further Trigonometry

 

      

NATIONAL 4 MATHS:

 

NATIONAL 4 MATHS

The Course aims to:

 

On successful completion of this Course, the learner could progress to:

 

Course Outline:

Mathematics: Expressions and Formulae

The general aim of this Unit is to develop skills linked to straightforward mathematical expressions and formulae. These include the manipulation of abstract terms, the simplification of expressions and the evaluation of formulae. The Outcomes cover aspects of algebra, geometry, statistics and reasoning.

 

Mathematics: Relationships

The general aim of this Unit is to develop skills linked to straightforward mathematical relationships. These include solving equations, understanding graphs and working with trigonometric ratios. The Outcomes cover aspects of algebra, geometry, trigonometry, statistics and reasoning.

 

Numeracy

The general aim of this Unit is to develop learners’ numerical and information handling skills to solve straightforward, real-life problems involving number, money, time and measurement. As learners tackle real-life problems, they will decide what numeracy skills to use and how to apply these skills to an appropriate level of accuracy. Learners will also interpret graphical data and use their knowledge and understanding of probability to identify solutions to straightforward real-life problems involving money, time and measurement. Learners will use their solutions to make and explain decisions.

 

Mathematics Test

This is the Added Value Unit of the National 4 Mathematics Course. The general aim of this Unit is to enable the learner to provide evidence of added value for the National 4 Mathematics Course through the successful completion of a test which will allow the learner to demonstrate breadth and challenge.

 

Unit assessment

All Units are internally assessed. They can be assessed on an individual Unit basis or by using other approaches which combine the assessment for more than one Unit.

They will be assessed on a pass/fail basis within school.

 

Conditions of award

To achieve the National 4 Mathematics Course, learners must pass all of the required Units, including the Added Value Unit. The required Units are shown in the Course outline section. National 4 Courses are not graded and are awarded on a pass/fail basis.

  

NATIONAL 4 APPLIED MATHS:

 

National 4 Applications of Maths - Course Outline (SQA Referenced)

The Course aims to:

 

Course Outline

The Course has four Units.

Applications of Mathematics: Managing Finance and Statistics

The general aim of this Unit is to develop skills that focus on the use of mathematical ideas and strategies that can be applied to managing finance and statistics in straightforward real-life contexts. This includes using skills in budgeting as well as skills in organising and presenting data, to explain solutions and/or draw conclusions. The Outcomes cover aspects of finance and statistics in real-life situations requiring mathematical reasoning.

 

Applications of Mathematics: Geometry and Measures

The general aim of this Unit is to develop skills that focus on the use of mathematical ideas and strategies that can be applied to geometry and measurement in straightforward real-life contexts. This includes using skills in interpreting and in using shape, space and measures to determine and explain solutions. The Outcomes cover aspects of geometry and measurement in real-life situations requiring mathematical reasoning.

 

Numeracy

The general aim of this Unit is to develop learners’ numerical and information handling skills to solve straightforward, real-life problems involving number, money, time and measurement. As learners tackle real-life problems, they will decide what numeracy skills to use and how to apply these skills to an appropriate level of accuracy. Learners will also interpret graphical data and use their knowledge and understanding of probability to identify solutions to straightforward real-life problems involving money, time and measurement. Learners will use their solutions to make and explain decisions.

 

Added Value Unit: Applications of Mathematics Test

The general aim of this Unit is to enable the learner to provide evidence of added value for the National 4 Applications of Mathematics Course through successful completion of a test which will allow the learner to demonstrate breadth and application. Breadth and application will be demonstrated through the use of mathematical ideas and strategies that can be applied to organising and planning straightforward aspects in personal life, the workplace and the wider world. This will include the application and integration of financial, measurement, geometric and statistical skills in real-life contexts involving reasoning. Numerical skills underpin all aspects of the Unit and the ability to use these without the aid of a calculator will also be assessed.

To achieve the National 4 Applications of Mathematics Course, learners must pass all of the required Units, including the Added Value Unit. The required Units are shown in the Course outline section. National 4 Courses are not graded and awards are made on a pass/fail basis.

All Units are internally assessed. They can be assessed on an individual Unit basis or by using other approaches which combine the assessment for more than one Unit.

They will be assessed on a pass/fail basis within school.

 

NATIONAL 5:

 

National 5 - Course Outline (SQA Referenced)

The course aims to:

 

Skills, knowledge and understanding for the course

The following provides a broad overview of the subject skills, knowledge and understanding developed in the course:

 

Topics

The National 5 course covers the following topics:

 

Course Assessment Structure

The grade awarded is based on the total marks achieved across all course assessment components. Achievement of this course gives automatic certification of the following Core Skill:

Numeracy at SCQF level 5

Component 1: question paper 1 (non-calculator) 50 marks

This question paper is set and marked by SQA, and conducted in school under conditions specified for external examinations by SQA.

Learners complete this in 1 hour and 15 minutes.

 

Component 2: question paper 2 (calculator) 60 marks

This question paper is set and marked by SQA, and conducted in school under conditions specified for external examinations by SQA.

Learners complete this in 1 hour and 50 minutes.

  

National 5 Applications of Maths - Course Outline (SQA Referenced)

 

The course aims to:

 

Skills, knowledge and understanding for the course

The following provides a broad overview of the subject skills, knowledge and understanding developed in the course:

 

 

Course assessment structure

Component 1: question paper 1 (non-calculator) 45 marks

This question paper is set and marked by SQA, and conducted in school under conditions specified for external examinations by SQA.

Learners complete this in 1 hour and 5 minutes.

 

Component 2: question paper 2 65 marks

This question paper is set and marked by SQA, and conducted in school under conditions specified for external examinations by SQA.

Learners complete this in 2 hours (including time to read and absorb case study information).

The grade awarded is based on the total marks achieved across all course assessment components. Achievement of this course gives automatic certification of the following Core Skill:

· Numeracy at SCQF level 5

 

HIGHER:

 

Higher - Course Outline (SQA Referenced)

The course aims to:

 

Skills, knowledge and understanding for the course

The following provides a broad overview of the subject skills, knowledge and understanding developed in the course:

 

Topics

The Higher course covers the following topics:

 

Course assessment structure

The grade awarded is based on the total marks achieved across all course assessment components. Achievement of this course gives automatic certification of the following Core Skill:

· Numeracy at SCQF level 6

 

Component 1: question paper 1 (non-calculator) 70 marks

This question paper is set and marked by SQA, and conducted in school under conditions specified for external examinations by SQA.

Learners have 1 hour and 30 minutes to complete this question paper.

 

Component 2: question paper 2 (calculator) 80 marks

This question paper is set and marked by SQA, and conducted in school under conditions specified for external examinations by SQA.

Learners have 1 hour and 45 minutes to complete this question paper

   

ADVANCED HIGHER:

 

Advanced Higher - Course Outline (SQA Referenced)

The course aims to:

 

Skills, knowledge and understanding for the course

The following provides a broad overview of the subject skills, knowledge and understanding developed in the course:

 

Topics

The Advanced Higher Course covers the following topics:

 

Course assessment structure: question paper

The grade awarded is based on the total marks achieved across both course assessment components.

 

Question paper 1 (non-calculator) 35 marks

This question paper is set and marked by SQA, and conducted in school under conditions specified for external examinations by SQA.

Learners have 1 hour to complete this question paper.

 

Question paper 2 (calculator) 80 marks

This question paper is set and marked by SQA, and conducted in school under conditions specified for external examinations by SQA.

Learners have 2 hours and 30 minutes to complete this question paper.

 

HOMEWORK POLICY

 

HOMEWORK POLICY

S1 and S2 pupils will be asked to complete exercises that consolidate the work done in class.

Pupils in S3 – S6 will be set formal exercises at regular intervals, with several days’ notice.

 

Pupils can expect to receive homework every one to two weeks, with varying completion times.

Your teacher should mark and return your homework with comments on your strengths and areas for improvement.